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Theory of Machine

Theory of Machine
Relationship between the number of links (L) and number of pairs (P) is

P = 2L - 4
P = 2L - 2
P = 2L + 4
P = 2L + 2

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Theory of Machine
When the sleeve of a Porter governor moves downwards, the governor speed

First increases and then decreases
Decreases
Increases
Remain unaffected

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Theory of Machine
A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

I₂/G
G.I₂
G².I₂
I₂/G²

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Theory of Machine
In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

ω sinθ/(n² - cos²θ)1/2
ω sinθ/(n² - sin²θ)1/2
ω cosθ/(n² - cos²θ)1/2
ω cosθ/(n² - sin²θ)1/2

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Theory of Machine
What is the number of instantaneous centers for an eight link mechanism?

15
30
28
8

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Theory of Machine
A disturbing mass m₁ attached to the rotating shaft may be balanced by a single mass m₂ attached in the same plane of rotation as that of m₁, such that (where r₁ and r₂ are the radii of rotation of m₁ and m₂ respectively)

None of these
m₁ r₂ = m₂ r₁
m₁ r₁ = m₂ r₂
m₁ m₂ = r₁ r₂

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